𝔖 Bobbio Scriptorium
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Sumsets of sparse sets

✍ Scribed by Artūras Dubickas, Paulius Šarka


Book ID
113074023
Publisher
Springer Netherlands
Year
2012
Tongue
English
Weight
125 KB
Volume
64
Category
Article
ISSN
0031-5303

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For a prime p, a subset S of Z p is a sumset if S = A+A for some A ⊂ Z p . Let f (p) denote the maximum integer so that every subset S ⊂ Z p of size at least pf (p) is a sumset. The question of determining or estimating f (p) was raised by Green. He showed that for all sufficiently large p, f (p) 1